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Finding the Fourth Proportional to 233,511.61, 322,246.61 and 135,413.86

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Solution

The fourth proportional to 233,511.61, 322,246.61 and 135,413.86 is: 186,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,511.61 : 322,246.61 = 135,413.86 : x
  2. Step 2: Convert to fraction form
    233,511.61/322,246.61 = 135,413.86/x
  3. Step 3: Cross multiply
    233,511.61x = 322,246.61 × 135,413.86
  4. Step 4: Simplify right side
    233,511.61x = 43,636,657,332.01
  5. Step 5: Solve for x
    x = 43,636,657,332.01/233,511.61
  6. Step 6: Final answer
    x = 186,871.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.